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Wednesday, Dec. 18, 2024

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Complex Numbers

by Waltz Invictus

Rated: 18+ · Book · Personal · #1196512

Not for the faint of art.

Complex Numbers

A complex number is expressed in the standard form a + bi, where a and b are real numbers and i is defined by i^2 = -1 (that is, i is the square root of -1). For example, 3 + 2i is a complex number.

The bi term is often referred to as an imaginary number (though this may be misleading, as it is no more "imaginary" than the symbolic abstractions we know as the "real" numbers). Thus, every complex number has a real part, a, and an imaginary part, bi.

Complex numbers are often represented on a graph known as the "complex plane," where the horizontal axis represents the infinity of real numbers, and the vertical axis represents the infinity of imaginary numbers. Thus, each complex number has a unique representation on the complex plane: some closer to real; others, more imaginary. If a = b, the number is equal parts real and imaginary.

Very simple transformations applied to numbers in the complex plane can lead to fractal structures of enormous intricacy and astonishing beauty.

http://www.ddewey.net/mandelbrot/

Signature for Honorable Mentions in 2018 Quill Awards

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Signature for those who have won a Quill Award at the 2020 Quill Awards

Show Recent Comments

10 Most Recent Blog Comments:

Aiva Raine

about 6 hours ago
In response to "Need for Speed"

Even with the actual explanation- it still left me going- sooooo what's the difference between the special expensive "speed tape" they use for "temporary fixes" and duct tape? LOL- sure sounds like duct tape to me and they are using it for exactly the same reasons you would use duct tape. I'm guessing that the only difference between it and duct tape is the "speed tape" is slightly stronger and handles temperature differences better. It still comes down holding the plane together with tape which doesn't exactly fill me with confidence. Especially if it's a Boeing plane.

1 Like

tj-Merry Mischief Maker

about 8 hours ago
In response to "Need for Speed"

I suppose they call it speed tape to keep people calm. If they called it what it is, temporary repair tape, they may lose passengers.

2 Like

Waltz Invictus

about 16 hours ago
In response to "Need for Speed"

Ichabod Crane-- Mince Pie

, I've heard that speed tape is extremely expensive. I can only assume the maintenance guys at Delta got a five-finger discount. But if you're going to steal from work, might as well go big and not just lift a box of paper clips.

1 Like

Ichabod Crane-- Mince Pie

about 17 hours ago
In response to "Need for Speed"

One of the last jobs I had was with Delta. I did ask the maintanace guys about that tape once and they pointed out high speed will rip duct tape or any other tape right off. They used it personally for their boats sometimes because of its strength. But looking out a window at 400 miles an hour and 30 thousand feet up and see duct tape on the wing. Certainly made me nervous first time I saw it.

3 Like

tj-Merry Mischief Maker

a day ago
In response to "Fork You Too"

Now that I know forks are the center of dining controversy, I'll have to apply this at all family gatherings where demon dining utensils are in use.

1 Like

tj-Merry Mischief Maker

Dec 15, 2024 at 1:06pm
In response to "Revisited: "Those Naughty Brits""

I don't think there's such a thing as kinky sex anymore. Why? Based on the general definition, kinky sex refers to sexual activities and preferences that fall outside standard sexual practices. Nowadays it seems anything goes and there are no norms or standards.

Oh, another thing; do you remember if the link had pictures? Asking for a friend.

1 Like

Wordsmitty ✍️

Dec 15, 2024 at 12:45pm
In response to "Revisited: "Those Naughty Brits""

Waltz Invictus - As they say, you're a more proper man than I. I may even check out the other links with those key words.

2 Like

Waltz Invictus

Dec 15, 2024 at 12:32pm
In response to "Revisited: "Those Naughty Brits""

Thanks for that, Wordsmitty ✍️

. Sometimes I make the effort to find an article from a dead link. This time, I did not.

1 Like

Wordsmitty ✍️

Dec 15, 2024 at 12:29pm
In response to "Revisited: "Those Naughty Brits""

I think we're all glad that society has advanced so far in a decade and a half. Which way is up to you.

For those interested, there's a "Search" option in the Times main page. Page 6 of the results comes up with this link: https://www.thetimes.com/article/4d5f3e63-22c9-45c0-837b-c3ad9d236ae8

2 Like

Elisa: Snowman Stik

Dec 15, 2024 at 9:35am
In response to "Revisited: "Those Naughty Brits""

Damn, another entry that has me wanting to jump in and offer tons of commentary! Let's have at it.

2008 Me: Journalism may not be dead yet, but it's starting to wander and stink.

Dead now. Mostly.

Clearly I need to highlight more non-profit outlets in my link rundowns. I'm finding lots of good reporting on that front. Perhaps I also need to add more examples of this to "Watch This Space!"

[18+]. Even 60 Minutes is still able to provide some good in the weeds reporting. Point is, journalism is struggling, but good reporting is still out there. I'm doing my damnedest to shine a light on the solid examples. I could use a bit more help in the process.

2008 Me: What happened to investigative journalism? Hell, what happened to comprehensive news stories?

Gods, 2008 Me was so young and naïve.

They still exist. Strangely, I have found that at least in my area the local stations actually put some of their most comprehensive stories online. Also, at least the NBC affiliate has a post-local news show that does more comprehensive reporting. Some pieces are fluffy, but others are not. They are more locally focused, but that's probably a good thing these days. Local news has struggled the most, and we're paying the price for that.

2008 Me: Why is this in the "women" section? Men don't want to read about kinky sex? Please.

I'm guessing men are less likely to consider it kinky, outrageous, or naughty. But what the fuck do I know (pun intended)?

Strangely, this seems almost prudish by British standards, especially in light of the fact that Time magazine reported on BDSM in one of its print issues four years prior. And as we know, Time magazine isn't exactly known for sectioning off its content by gender. The Time coverage did include a photo taken in a BDSM dungeon that wasn't too explicit but really captured the D/s component really well. Honestly, I'd expect a UK publication to do that before a US one, not the other way around.

That said, I suspect the articles may have been written for slightly different audiences. If the audience is primarily women, there is likely to be more implicit shame in the picture, as women have been historically more likely to be primed to be ashamed about their sexuality in any capacity. Don't get me wrong. I know men are also subjected to this shaming. However, it tends to be less persistent and less pervasive in terms of different facets being shamed. In a general audience, the shame element can be downplayed. In a women-focused audience, you have to address the shame angle in some capacity, reassuring them that this isn't such a bad thing. This isn't something I'm directly involved in, but given the lack of women on WDC willing to write about this sort of thing these days, I might have to take one exploring this concept in depth. Ladies, if you're thinking about writing something (journal entry, static item, whatever) about this topic, this is your sign to go ahead and do it!

These days, I have preconceived ideas about headline questions: First, if it's a yes/no question, the answer is probably "no."

Snopes is ready to challenge that assumption.

2 Like

December 11, 2024 at 12:20pm

#1081035

On the Label

A Slate article from half a year ago takes on an issue I've been wondering about for a long time.

On Both Sides of My Brain
For years now, I’ve been puzzled—and annoyed—by the way people seem to insist on labeling what type of person one can be. I’ve finally solved my problem.

Ah, I recognize that personality type! The author must be a non-labeler!

June 25, 2024 5:40 AM

Yeah, I don't usually copy timestamps in here, but this one gave me pause. Is the writer an extreme night owl, or an extreme early bird? (Or was the article's publication time scripted? Different time zone? Who knows?)

Recently, after I did a silent retreat, I was trapped on a five-hour car journey (long story) with someone who was obsessed with labeling everything. People have “math brains” or “creative brains,” there are “boy chores” and “girl chores,” and in any relationship you will have “the person who reads the map” and “the one who is social.”

Well, there's your problem: you did a silent retreat, and then got stuck as a captive audience while someone spewed out all the words they couldn't during the retreat.

This labeling tic is all over the internet too; indeed, much of the content I see online seems premised upon the idea that everything can be better understood if we simply group it as a type.

Yes, maybe we should call that kind of person a Tag Hag.

The relief in the comments is palpable: Oh, I’m that label! Everything makes sense now.

That's kind of what's been bugging me about labeling, to be serious for a moment. I am what I am (to quote either God or Popeye), so how does putting a label on it help? Like, we all know I'm into science, pedantry, gaming, and science fiction; how does it help me or anyone else if I get put in the "nerd" box?

Usually when I find myself dealing with a “labeler” in real life, it’s because this idea of there being two types of brains has come up.

There are two kinds of people in the world: Those who think there are two types of brains, and those of us who know that's been thoroughly and completely debunked.

It’s not just attachment styles. All over those platforms, you see vlogs and infographics declaring that people can be understood best as bundles of fixed, unchanging symptoms, related to corresponding bundles of trauma, grouped neatly under buzzy labels.

This is, of course nonsense. People can be best understood by their astrological natal chart.

Yes, I'm back to making jokes. But speaking of astrology:

Then there is the enormous popularity of astrology meme accounts. I find it hard to take exception with this iteration of labeling, though, because my star sign is Aquarius, so the @costarastrology account (with its 2 million followers) always presents me with flattering personality reads that position me as a cool, aloof, intellectual sort.

That's not your star sign. It's your sun sign. Your personality is also influenced by what sign the moon was in at your birth, and which one was intersected by the eastern horizon (which is what I said above). As I'm an Aquarius sun and moon (rising sign unknown), I know that astrology is complete horseshit (but sometimes fun horseshit).

On that five-hour car journey with the labeler, though, I could not simply go outside. They were always rushing to finish my sentences too, with an ending they expected might fit with the kind of thing I had been saying. There was a manic, frantic energy to every exchange. As if something terrible might happen if I were permitted to finish a sentence by myself.

Note to self: if I ever do a silent retreat (which I won't), arrange my own damn transportation. Alone.

And speaking about it, I should admit, to my psychoanalyst a few days later helped me clarify my thoughts further. (That’s right, my psychoanalyst. This essay was not eccentric and unhinged enough already.)

Right, because everyone who sees a shrink is eccentric and unhinged? Come on, lady, if you're going to rage against labels, at least stop enhancing the stigma surrounding mental health issues.

But in the wake of the silent retreat, everything seemed bathed in a rosy glow of calmness and goodwill. My thoughts were infused with peace and love and so forth. So, after my frustration had exhausted itself (and, mind you, that did still take a while), I had a sort of epiphany. After all, wasn’t there some of the labeler in me? Even by calling this person a labeler, I was assigning them a type.

I can almost forgive the dig on psychotherapy after seeing this level of self-awareness. Almost. Not quite.

There is, of course, more to the article, including another epiphany about some people needing to maintain control over social situations, or something. I don't know; I'm not sure if that revelation makes things better or worse. Just like with labels. So, I leave the article, my own curiosity unresolved, more confused than ever.

Maybe I should see a shrink.

4 Like • Comment • View 2 comments

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